Skip to main content
padlock icon - secure page this page is secure

Corrections for Woodwind Tone-Hole Calculations

Buy Article:

$30.00 + tax (Refund Policy)

The resonance frequencies of a woodwind instrument can be calculated by modelling it as a lattice of series and parallel tube pieces. For greater accuracy, corrections due to local changes in compliance and inertance by the presence of holes must be taken into account. The compliance change due to a closed hole is determined by its volume. The inertance change is dependent on both hole volume and shape. A quick estimate of the inertance is obtained when approximating the flow as stratified and summing the results of the parallel layers using values from accurately obtainable two-dimensional results. This solution has a systematic error. A correct solution is obtained by a finite difference method, but its accuracy is limited by the number of elements which can be handled by a computer. Results of both approaches are compared. For a closed cylindrical hole, the volume contributing to the (negative) inertance change is found to be approximately 28% of the hole radius times its area. The inner end correction for an open hole is found to vary between 82% and 16% of the hole radius when the ratio of hole and tube radii varies between zero and unity.
No Reference information available - sign in for access.
No Citation information available - sign in for access.
No Supplementary Data.
No Article Media
No Metrics

Document Type: Research Article

Publication date: September 1, 1998

More about this publication?
  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
  • Editorial Board
  • Information for Authors
  • Submit a Paper
  • Subscribe to this Title
  • Information for Advertisers
  • Online User License
  • Ingenta Connect is not responsible for the content or availability of external websites
  • Access Key
  • Free content
  • Partial Free content
  • New content
  • Open access content
  • Partial Open access content
  • Subscribed content
  • Partial Subscribed content
  • Free trial content
Cookie Policy
Cookie Policy
Ingenta Connect website makes use of cookies so as to keep track of data that you have filled in. I am Happy with this Find out more